The following data is representative of that reported in an article on nitrogen emissions, with x...

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The following data is representative of that reported in anarticle on nitrogen emissions, with x = burner arealiberation rate (MBtu/hr-ft²) and y =NO_x emission rate (ppm):
x 100 125 125 150 150 200 200 250 250 300 300 350 400 400
y 140 140 170 210 200 330 280 390 440 450 400 590 610 660
(a) Assuming that the simple linear regression model is valid,obtain the least squares estimate of the true regression line.(Round all numerical values to four decimal places.)
y =

(b) What is the estimate of expected NO_xemission rate when burner area liberation rate equals 215? (Roundyour answer to two decimal places.)
ppm

(c) Estimate the amount by which you expect NO_xemission rate to change when burner area liberation rate isdecreased by 60. (Round your answer to two decimal places.)
ppm

(d) Would you use the estimated regression line to predict emissionrate for a liberation rate of 500? Why or why not?
Yes, the data is perfectly linear, thus lending to accuratepredictions.
Yes, this value is between two existingvalues.
No, this value is too far away from the known values for usefulextrapolation.
No, the data near this point deviates from the overallregression model.

Answer & Explanation Solved by verified expert

4.2 Ratings (768 Votes)

a The linear regression equation is given as yhat 4512 171x where yhat is the predicted value of theNOx emission rate ppm and x given burnerarea liberation rate MBtuhrft2b the estimate of expected NOx emissionrate when the burner See Answer

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x	100	125	125	150	150	200	200	250	250	300	300	350	400	400
y	140	140	170	210	200	330	280	390	440	450	400	590	610	660

x	100	125	125	150	150	200	200	250	250	300	300	350	400	400
y	140	140	170	210	200	330	280	390	440	450	400	590	610	660